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Simplifying 8p2 + 12p4 = 0 Solving 8p2 + 12p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p2'. 4p2(2 + 3p2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(2 + 3p2)' equal to zero and attempt to solve: Simplifying 2 + 3p2 = 0 Solving 2 + 3p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3p2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p2 = 0 + -2 3p2 = 0 + -2 Combine like terms: 0 + -2 = -2 3p2 = -2 Divide each side by '3'. p2 = -0.6666666667 Simplifying p2 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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